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Finding the Fourth Proportional to 418,748,812.54, 627,832,345.04 and 185,452,395.46

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Solution

The fourth proportional to 418,748,812.54, 627,832,345.04 and 185,452,395.46 is: 278,049,773.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,748,812.54 : 627,832,345.04 = 185,452,395.46 : x
  2. Step 2: Convert to fraction form
    418,748,812.54/627,832,345.04 = 185,452,395.46/x
  3. Step 3: Cross multiply
    418,748,812.54x = 627,832,345.04 × 185,452,395.46
  4. Step 4: Simplify right side
    418,748,812.54x = 116,433,012,334,937,248
  5. Step 5: Solve for x
    x = 116,433,012,334,937,248/418,748,812.54
  6. Step 6: Final answer
    x = 278,049,773.15

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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.