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Finding the Fourth Proportional to 478,459.71, 717,829.90 and 141,509.23

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Solution

The fourth proportional to 478,459.71, 717,829.90 and 141,509.23 is: 212,305.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,459.71 : 717,829.90 = 141,509.23 : x
  2. Step 2: Convert to fraction form
    478,459.71/717,829.90 = 141,509.23/x
  3. Step 3: Cross multiply
    478,459.71x = 717,829.90 × 141,509.23
  4. Step 4: Simplify right side
    478,459.71x = 101,579,554,271.63
  5. Step 5: Solve for x
    x = 101,579,554,271.63/478,459.71
  6. Step 6: Final answer
    x = 212,305.35

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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.