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Finding the Fourth Proportional to 477,916.40, 715,708.20 and 228,306.80

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Solution

The fourth proportional to 477,916.40, 715,708.20 and 228,306.80 is: 341,903.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,916.40 : 715,708.20 = 228,306.80 : x
  2. Step 2: Convert to fraction form
    477,916.40/715,708.20 = 228,306.80/x
  3. Step 3: Cross multiply
    477,916.40x = 715,708.20 × 228,306.80
  4. Step 4: Simplify right side
    477,916.40x = 163,401,048,875.76
  5. Step 5: Solve for x
    x = 163,401,048,875.76/477,916.40
  6. Step 6: Final answer
    x = 341,903.00

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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.