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Finding the Fourth Proportional to 487,010.36, 729,509.18 and 286,713.56

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Solution

The fourth proportional to 487,010.36, 729,509.18 and 286,713.56 is: 429,477.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,010.36 : 729,509.18 = 286,713.56 : x
  2. Step 2: Convert to fraction form
    487,010.36/729,509.18 = 286,713.56/x
  3. Step 3: Cross multiply
    487,010.36x = 729,509.18 × 286,713.56
  4. Step 4: Simplify right side
    487,010.36x = 209,160,174,050.48
  5. Step 5: Solve for x
    x = 209,160,174,050.48/487,010.36
  6. Step 6: Final answer
    x = 429,477.87

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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.