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Finding the Fourth Proportional to 510,925.86, 705,005.37 and 290,155.50

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Solution

The fourth proportional to 510,925.86, 705,005.37 and 290,155.50 is: 400,373.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,925.86 : 705,005.37 = 290,155.50 : x
  2. Step 2: Convert to fraction form
    510,925.86/705,005.37 = 290,155.50/x
  3. Step 3: Cross multiply
    510,925.86x = 705,005.37 × 290,155.50
  4. Step 4: Simplify right side
    510,925.86x = 204,561,185,635.04
  5. Step 5: Solve for x
    x = 204,561,185,635.04/510,925.86
  6. Step 6: Final answer
    x = 400,373.52

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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.