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Finding the Fourth Proportional to 497,478.15, 686,522.16 and 282,630

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Solution

The fourth proportional to 497,478.15, 686,522.16 and 282,630 is: 390,030.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,478.15 : 686,522.16 = 282,630 : x
  2. Step 2: Convert to fraction form
    497,478.15/686,522.16 = 282,630/x
  3. Step 3: Cross multiply
    497,478.15x = 686,522.16 × 282,630
  4. Step 4: Simplify right side
    497,478.15x = 194,031,756,667.65
  5. Step 5: Solve for x
    x = 194,031,756,667.65/497,478.15
  6. Step 6: Final answer
    x = 390,030.72

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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.