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Finding the Fourth Proportional to 509,385.58, 702,955.47 and 318,510.70

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Solution

The fourth proportional to 509,385.58, 702,955.47 and 318,510.70 is: 439,546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,385.58 : 702,955.47 = 318,510.70 : x
  2. Step 2: Convert to fraction form
    509,385.58/702,955.47 = 318,510.70/x
  3. Step 3: Cross multiply
    509,385.58x = 702,955.47 × 318,510.70
  4. Step 4: Simplify right side
    509,385.58x = 223,898,838,818.53
  5. Step 5: Solve for x
    x = 223,898,838,818.53/509,385.58
  6. Step 6: Final answer
    x = 439,546.87

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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.