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Finding the Fourth Proportional to 565,574.52, 780,492.84 and 310,925.73

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Solution

The fourth proportional to 565,574.52, 780,492.84 and 310,925.73 is: 429,077.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,574.52 : 780,492.84 = 310,925.73 : x
  2. Step 2: Convert to fraction form
    565,574.52/780,492.84 = 310,925.73/x
  3. Step 3: Cross multiply
    565,574.52x = 780,492.84 × 310,925.73
  4. Step 4: Simplify right side
    565,574.52x = 242,675,306,036.77
  5. Step 5: Solve for x
    x = 242,675,306,036.77/565,574.52
  6. Step 6: Final answer
    x = 429,077.51

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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.