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Finding the Fourth Proportional to 469,650,657.60, 704,475,986.40 and 442,866,031.20

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Solution

The fourth proportional to 469,650,657.60, 704,475,986.40 and 442,866,031.20 is: 664,299,046.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,650,657.60 : 704,475,986.40 = 442,866,031.20 : x
  2. Step 2: Convert to fraction form
    469,650,657.60/704,475,986.40 = 442,866,031.20/x
  3. Step 3: Cross multiply
    469,650,657.60x = 704,475,986.40 × 442,866,031.20
  4. Step 4: Simplify right side
    469,650,657.60x = 311,988,484,172,673,152
  5. Step 5: Solve for x
    x = 311,988,484,172,673,152/469,650,657.60
  6. Step 6: Final answer
    x = 664,299,046.80

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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.