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Finding the Fourth Proportional to 506,678.04, 699,214.68 and 280,323

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Solution

The fourth proportional to 506,678.04, 699,214.68 and 280,323 is: 386,845.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,678.04 : 699,214.68 = 280,323 : x
  2. Step 2: Convert to fraction form
    506,678.04/699,214.68 = 280,323/x
  3. Step 3: Cross multiply
    506,678.04x = 699,214.68 × 280,323
  4. Step 4: Simplify right side
    506,678.04x = 196,005,956,741.64
  5. Step 5: Solve for x
    x = 196,005,956,741.64/506,678.04
  6. Step 6: Final answer
    x = 386,845.18

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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.