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Finding the Fourth Proportional to 497,563.16, 686,637.34 and 282,703.50

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Solution

The fourth proportional to 497,563.16, 686,637.34 and 282,703.50 is: 390,130.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,563.16 : 686,637.34 = 282,703.50 : x
  2. Step 2: Convert to fraction form
    497,563.16/686,637.34 = 282,703.50/x
  3. Step 3: Cross multiply
    497,563.16x = 686,637.34 × 282,703.50
  4. Step 4: Simplify right side
    497,563.16x = 194,114,779,248.69
  5. Step 5: Solve for x
    x = 194,114,779,248.69/497,563.16
  6. Step 6: Final answer
    x = 390,130.93

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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.