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Finding the Fourth Proportional to 509,746.72, 703,370.64 and 294,869.92

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Solution

The fourth proportional to 509,746.72, 703,370.64 and 294,869.92 is: 406,874.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,746.72 : 703,370.64 = 294,869.92 : x
  2. Step 2: Convert to fraction form
    509,746.72/703,370.64 = 294,869.92/x
  3. Step 3: Cross multiply
    509,746.72x = 703,370.64 × 294,869.92
  4. Step 4: Simplify right side
    509,746.72x = 207,402,844,347.15
  5. Step 5: Solve for x
    x = 207,402,844,347.15/509,746.72
  6. Step 6: Final answer
    x = 406,874.31

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1.5x scale

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.