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Finding the Fourth Proportional to 497,490, 686,554.74 and 282,666.45

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Solution

The fourth proportional to 497,490, 686,554.74 and 282,666.45 is: 390,090.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,490 : 686,554.74 = 282,666.45 : x
  2. Step 2: Convert to fraction form
    497,490/686,554.74 = 282,666.45/x
  3. Step 3: Cross multiply
    497,490x = 686,554.74 × 282,666.45
  4. Step 4: Simplify right side
    497,490x = 194,065,991,086.47
  5. Step 5: Solve for x
    x = 194,065,991,086.47/497,490
  6. Step 6: Final answer
    x = 390,090.24

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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.