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Finding the Fourth Proportional to 509,178.34, 702,688.35 and 282,823.84

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Solution

The fourth proportional to 509,178.34, 702,688.35 and 282,823.84 is: 390,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,178.34 : 702,688.35 = 282,823.84 : x
  2. Step 2: Convert to fraction form
    509,178.34/702,688.35 = 282,823.84/x
  3. Step 3: Cross multiply
    509,178.34x = 702,688.35 × 282,823.84
  4. Step 4: Simplify right side
    509,178.34x = 198,737,017,470.26
  5. Step 5: Solve for x
    x = 198,737,017,470.26/509,178.34
  6. Step 6: Final answer
    x = 390,309.25

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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.