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Finding the Fourth Proportional to 611,740.32, 917,402.40 and 232,569.60

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Solution

The fourth proportional to 611,740.32, 917,402.40 and 232,569.60 is: 348,775.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,740.32 : 917,402.40 = 232,569.60 : x
  2. Step 2: Convert to fraction form
    611,740.32/917,402.40 = 232,569.60/x
  3. Step 3: Cross multiply
    611,740.32x = 917,402.40 × 232,569.60
  4. Step 4: Simplify right side
    611,740.32x = 213,359,909,207.04
  5. Step 5: Solve for x
    x = 213,359,909,207.04/611,740.32
  6. Step 6: Final answer
    x = 348,775.29

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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.