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Finding the Fourth Proportional to 686,592,649.20, 1,029,888,973.80 and 611,345,852.40

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Solution

The fourth proportional to 686,592,649.20, 1,029,888,973.80 and 611,345,852.40 is: 917,018,778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,592,649.20 : 1,029,888,973.80 = 611,345,852.40 : x
  2. Step 2: Convert to fraction form
    686,592,649.20/1,029,888,973.80 = 611,345,852.40/x
  3. Step 3: Cross multiply
    686,592,649.20x = 1,029,888,973.80 × 611,345,852.40
  4. Step 4: Simplify right side
    686,592,649.20x = 629,618,352,565,122,176
  5. Step 5: Solve for x
    x = 629,618,352,565,122,176/686,592,649.20
  6. Step 6: Final answer
    x = 917,018,778.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.