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Finding the Fourth Proportional to 514,421.05, 710,247.50 and 321,123.06

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Solution

The fourth proportional to 514,421.05, 710,247.50 and 321,123.06 is: 443,366.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,421.05 : 710,247.50 = 321,123.06 : x
  2. Step 2: Convert to fraction form
    514,421.05/710,247.50 = 321,123.06/x
  3. Step 3: Cross multiply
    514,421.05x = 710,247.50 × 321,123.06
  4. Step 4: Simplify right side
    514,421.05x = 228,076,850,557.35
  5. Step 5: Solve for x
    x = 228,076,850,557.35/514,421.05
  6. Step 6: Final answer
    x = 443,366.09

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.