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Finding the Fourth Proportional to 509,385.83, 702,955.82 and 318,510.95

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Solution

The fourth proportional to 509,385.83, 702,955.82 and 318,510.95 is: 439,547.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,385.83 : 702,955.82 = 318,510.95 : x
  2. Step 2: Convert to fraction form
    509,385.83/702,955.82 = 318,510.95/x
  3. Step 3: Cross multiply
    509,385.83x = 702,955.82 × 318,510.95
  4. Step 4: Simplify right side
    509,385.83x = 223,899,124,443.67
  5. Step 5: Solve for x
    x = 223,899,124,443.67/509,385.83
  6. Step 6: Final answer
    x = 439,547.22

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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.