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Finding the Fourth Proportional to 687,442.01, 948,238.45 and 407,841.25

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Solution

The fourth proportional to 687,442.01, 948,238.45 and 407,841.25 is: 562,564.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,442.01 : 948,238.45 = 407,841.25 : x
  2. Step 2: Convert to fraction form
    687,442.01/948,238.45 = 407,841.25/x
  3. Step 3: Cross multiply
    687,442.01x = 948,238.45 × 407,841.25
  4. Step 4: Simplify right side
    687,442.01x = 386,730,754,746.06
  5. Step 5: Solve for x
    x = 386,730,754,746.06/687,442.01
  6. Step 6: Final answer
    x = 562,564.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.