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Finding the Fourth Proportional to 473,730.40, 710,984.40 and 458,178.40

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Solution

The fourth proportional to 473,730.40, 710,984.40 and 458,178.40 is: 687,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,730.40 : 710,984.40 = 458,178.40 : x
  2. Step 2: Convert to fraction form
    473,730.40/710,984.40 = 458,178.40/x
  3. Step 3: Cross multiply
    473,730.40x = 710,984.40 × 458,178.40
  4. Step 4: Simplify right side
    473,730.40x = 325,757,694,816.96
  5. Step 5: Solve for x
    x = 325,757,694,816.96/473,730.40
  6. Step 6: Final answer
    x = 687,643.64

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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.