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Finding the Fourth Proportional to 473,710.20, 710,478.16 and 207,421.08

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Solution

The fourth proportional to 473,710.20, 710,478.16 and 207,421.08 is: 311,093.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,710.20 : 710,478.16 = 207,421.08 : x
  2. Step 2: Convert to fraction form
    473,710.20/710,478.16 = 207,421.08/x
  3. Step 3: Cross multiply
    473,710.20x = 710,478.16 × 207,421.08
  4. Step 4: Simplify right side
    473,710.20x = 147,368,147,263.61
  5. Step 5: Solve for x
    x = 147,368,147,263.61/473,710.20
  6. Step 6: Final answer
    x = 311,093.46

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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.