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Finding the Fourth Proportional to 506,744.64, 760,320 and 191,291.04

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Solution

The fourth proportional to 506,744.64, 760,320 and 191,291.04 is: 287,013.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,744.64 : 760,320 = 191,291.04 : x
  2. Step 2: Convert to fraction form
    506,744.64/760,320 = 191,291.04/x
  3. Step 3: Cross multiply
    506,744.64x = 760,320 × 191,291.04
  4. Step 4: Simplify right side
    506,744.64x = 145,442,403,532.80
  5. Step 5: Solve for x
    x = 145,442,403,532.80/506,744.64
  6. Step 6: Final answer
    x = 287,013.21

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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.