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Finding the Fourth Proportional to 487,307.64, 729,826.02 and 473,855.16

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Solution

The fourth proportional to 487,307.64, 729,826.02 and 473,855.16 is: 709,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,307.64 : 729,826.02 = 473,855.16 : x
  2. Step 2: Convert to fraction form
    487,307.64/729,826.02 = 473,855.16/x
  3. Step 3: Cross multiply
    487,307.64x = 729,826.02 × 473,855.16
  4. Step 4: Simplify right side
    487,307.64x = 345,831,825,479.26
  5. Step 5: Solve for x
    x = 345,831,825,479.26/487,307.64
  6. Step 6: Final answer
    x = 709,678.64

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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.