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Finding the Fourth Proportional to 506,238.30, 758,981.61 and 306,511.20

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Solution

The fourth proportional to 506,238.30, 758,981.61 and 306,511.20 is: 459,539.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,238.30 : 758,981.61 = 306,511.20 : x
  2. Step 2: Convert to fraction form
    506,238.30/758,981.61 = 306,511.20/x
  3. Step 3: Cross multiply
    506,238.30x = 758,981.61 × 306,511.20
  4. Step 4: Simplify right side
    506,238.30x = 232,636,364,059.03
  5. Step 5: Solve for x
    x = 232,636,364,059.03/506,238.30
  6. Step 6: Final answer
    x = 459,539.24

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1.5x scale

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.