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Finding the Fourth Proportional to 677,048.40, 933,901.92 and 435,644.64

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Solution

The fourth proportional to 677,048.40, 933,901.92 and 435,644.64 is: 600,916.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,048.40 : 933,901.92 = 435,644.64 : x
  2. Step 2: Convert to fraction form
    677,048.40/933,901.92 = 435,644.64/x
  3. Step 3: Cross multiply
    677,048.40x = 933,901.92 × 435,644.64
  4. Step 4: Simplify right side
    677,048.40x = 406,849,365,733.71
  5. Step 5: Solve for x
    x = 406,849,365,733.71/677,048.40
  6. Step 6: Final answer
    x = 600,916.22

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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.