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Finding the Fourth Proportional to 497,501.76, 686,570.78 and 282,678.21

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Solution

The fourth proportional to 497,501.76, 686,570.78 and 282,678.21 is: 390,106.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,501.76 : 686,570.78 = 282,678.21 : x
  2. Step 2: Convert to fraction form
    497,501.76/686,570.78 = 282,678.21/x
  3. Step 3: Cross multiply
    497,501.76x = 686,570.78 × 282,678.21
  4. Step 4: Simplify right side
    497,501.76x = 194,078,599,128.70
  5. Step 5: Solve for x
    x = 194,078,599,128.70/497,501.76
  6. Step 6: Final answer
    x = 390,106.36

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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.