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Finding the Fourth Proportional to 343,319.61, 514,881 and 103,456.74

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Solution

The fourth proportional to 343,319.61, 514,881 and 103,456.74 is: 155,155.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,319.61 : 514,881 = 103,456.74 : x
  2. Step 2: Convert to fraction form
    343,319.61/514,881 = 103,456.74/x
  3. Step 3: Cross multiply
    343,319.61x = 514,881 × 103,456.74
  4. Step 4: Simplify right side
    343,319.61x = 53,267,909,747.94
  5. Step 5: Solve for x
    x = 53,267,909,747.94/343,319.61
  6. Step 6: Final answer
    x = 155,155.45

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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.