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Finding the Fourth Proportional to 487,947.61, 732,130.75 and 188,638.40

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Solution

The fourth proportional to 487,947.61, 732,130.75 and 188,638.40 is: 283,038.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,947.61 : 732,130.75 = 188,638.40 : x
  2. Step 2: Convert to fraction form
    487,947.61/732,130.75 = 188,638.40/x
  3. Step 3: Cross multiply
    487,947.61x = 732,130.75 × 188,638.40
  4. Step 4: Simplify right side
    487,947.61x = 138,107,973,270.80
  5. Step 5: Solve for x
    x = 138,107,973,270.80/487,947.61
  6. Step 6: Final answer
    x = 283,038.53

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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.