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Finding the Fourth Proportional to 492,663,390.89, 738,975,655.49 and 181,636,549.20

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Solution

The fourth proportional to 492,663,390.89, 738,975,655.49 and 181,636,549.20 is: 272,447,659.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,663,390.89 : 738,975,655.49 = 181,636,549.20 : x
  2. Step 2: Convert to fraction form
    492,663,390.89/738,975,655.49 = 181,636,549.20/x
  3. Step 3: Cross multiply
    492,663,390.89x = 738,975,655.49 × 181,636,549.20
  4. Step 4: Simplify right side
    492,663,390.89x = 134,224,988,005,103,440
  5. Step 5: Solve for x
    x = 134,224,988,005,103,440/492,663,390.89
  6. Step 6: Final answer
    x = 272,447,659.98

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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.