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Finding the Fourth Proportional to 503,585.84, 695,041.68 and 288,727.40

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Solution

The fourth proportional to 503,585.84, 695,041.68 and 288,727.40 is: 398,497.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,585.84 : 695,041.68 = 288,727.40 : x
  2. Step 2: Convert to fraction form
    503,585.84/695,041.68 = 288,727.40/x
  3. Step 3: Cross multiply
    503,585.84x = 695,041.68 × 288,727.40
  4. Step 4: Simplify right side
    503,585.84x = 200,677,577,158.03
  5. Step 5: Solve for x
    x = 200,677,577,158.03/503,585.84
  6. Step 6: Final answer
    x = 398,497.26

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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.