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Finding the Fourth Proportional to 497,499, 686,567.16 and 282,675.48

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Solution

The fourth proportional to 497,499, 686,567.16 and 282,675.48 is: 390,102.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,499 : 686,567.16 = 282,675.48 : x
  2. Step 2: Convert to fraction form
    497,499/686,567.16 = 282,675.48/x
  3. Step 3: Cross multiply
    497,499x = 686,567.16 × 282,675.48
  4. Step 4: Simplify right side
    497,499x = 194,075,701,505.24
  5. Step 5: Solve for x
    x = 194,075,701,505.24/497,499
  6. Step 6: Final answer
    x = 390,102.70

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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.