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Finding the Fourth Proportional to 242,649,006.40, 363,973,509.60 and 78,886,446.40

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Solution

The fourth proportional to 242,649,006.40, 363,973,509.60 and 78,886,446.40 is: 118,329,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,649,006.40 : 363,973,509.60 = 78,886,446.40 : x
  2. Step 2: Convert to fraction form
    242,649,006.40/363,973,509.60 = 78,886,446.40/x
  3. Step 3: Cross multiply
    242,649,006.40x = 363,973,509.60 × 78,886,446.40
  4. Step 4: Simplify right side
    242,649,006.40x = 28,712,576,756,080,288
  5. Step 5: Solve for x
    x = 28,712,576,756,080,288/242,649,006.40
  6. Step 6: Final answer
    x = 118,329,669.60

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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.