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Finding the Fourth Proportional to 581,920.61, 802,930.01 and 340,156.40

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Solution

The fourth proportional to 581,920.61, 802,930.01 and 340,156.40 is: 469,345.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,920.61 : 802,930.01 = 340,156.40 : x
  2. Step 2: Convert to fraction form
    581,920.61/802,930.01 = 340,156.40/x
  3. Step 3: Cross multiply
    581,920.61x = 802,930.01 × 340,156.40
  4. Step 4: Simplify right side
    581,920.61x = 273,121,775,938.13
  5. Step 5: Solve for x
    x = 273,121,775,938.13/581,920.61
  6. Step 6: Final answer
    x = 469,345.43

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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.