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Finding the Fourth Proportional to 507,424.50, 700,071.66 and 289,476.45

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Solution

The fourth proportional to 507,424.50, 700,071.66 and 289,476.45 is: 399,378.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,424.50 : 700,071.66 = 289,476.45 : x
  2. Step 2: Convert to fraction form
    507,424.50/700,071.66 = 289,476.45/x
  3. Step 3: Cross multiply
    507,424.50x = 700,071.66 × 289,476.45
  4. Step 4: Simplify right side
    507,424.50x = 202,654,258,882.41
  5. Step 5: Solve for x
    x = 202,654,258,882.41/507,424.50
  6. Step 6: Final answer
    x = 399,378.15

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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.