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Finding the Fourth Proportional to 400,283.40, 600,421.71 and 163,459.98

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Solution

The fourth proportional to 400,283.40, 600,421.71 and 163,459.98 is: 245,188.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,283.40 : 600,421.71 = 163,459.98 : x
  2. Step 2: Convert to fraction form
    400,283.40/600,421.71 = 163,459.98/x
  3. Step 3: Cross multiply
    400,283.40x = 600,421.71 × 163,459.98
  4. Step 4: Simplify right side
    400,283.40x = 98,144,920,708.17
  5. Step 5: Solve for x
    x = 98,144,920,708.17/400,283.40
  6. Step 6: Final answer
    x = 245,188.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.