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Finding the Fourth Proportional to 433,860.71, 651,210.86 and 209,379.17

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Solution

The fourth proportional to 433,860.71, 651,210.86 and 209,379.17 is: 314,271.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,860.71 : 651,210.86 = 209,379.17 : x
  2. Step 2: Convert to fraction form
    433,860.71/651,210.86 = 209,379.17/x
  3. Step 3: Cross multiply
    433,860.71x = 651,210.86 × 209,379.17
  4. Step 4: Simplify right side
    433,860.71x = 136,349,985,058.84
  5. Step 5: Solve for x
    x = 136,349,985,058.84/433,860.71
  6. Step 6: Final answer
    x = 314,271.34

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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.