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Finding the Fourth Proportional to 528,670.29, 729,565.74 and 286,952.91

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Solution

The fourth proportional to 528,670.29, 729,565.74 and 286,952.91 is: 395,995.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,670.29 : 729,565.74 = 286,952.91 : x
  2. Step 2: Convert to fraction form
    528,670.29/729,565.74 = 286,952.91/x
  3. Step 3: Cross multiply
    528,670.29x = 729,565.74 × 286,952.91
  4. Step 4: Simplify right side
    528,670.29x = 209,351,012,129.30
  5. Step 5: Solve for x
    x = 209,351,012,129.30/528,670.29
  6. Step 6: Final answer
    x = 395,995.42

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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.