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Finding the Fourth Proportional to 486,004.16, 729,001.76 and 153,580.16

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Solution

The fourth proportional to 486,004.16, 729,001.76 and 153,580.16 is: 230,368.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,004.16 : 729,001.76 = 153,580.16 : x
  2. Step 2: Convert to fraction form
    486,004.16/729,001.76 = 153,580.16/x
  3. Step 3: Cross multiply
    486,004.16x = 729,001.76 × 153,580.16
  4. Step 4: Simplify right side
    486,004.16x = 111,960,206,941.08
  5. Step 5: Solve for x
    x = 111,960,206,941.08/486,004.16
  6. Step 6: Final answer
    x = 230,368.82

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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.