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Finding the Fourth Proportional to 459,113.80, 688,670.70 and 347,139.40

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Solution

The fourth proportional to 459,113.80, 688,670.70 and 347,139.40 is: 520,709.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,113.80 : 688,670.70 = 347,139.40 : x
  2. Step 2: Convert to fraction form
    459,113.80/688,670.70 = 347,139.40/x
  3. Step 3: Cross multiply
    459,113.80x = 688,670.70 × 347,139.40
  4. Step 4: Simplify right side
    459,113.80x = 239,064,733,595.58
  5. Step 5: Solve for x
    x = 239,064,733,595.58/459,113.80
  6. Step 6: Final answer
    x = 520,709.10

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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.