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Finding the Fourth Proportional to 707,702.30, 976,709.85 and 421,223.30

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Solution

The fourth proportional to 707,702.30, 976,709.85 and 421,223.30 is: 581,336.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,702.30 : 976,709.85 = 421,223.30 : x
  2. Step 2: Convert to fraction form
    707,702.30/976,709.85 = 421,223.30/x
  3. Step 3: Cross multiply
    707,702.30x = 976,709.85 × 421,223.30
  4. Step 4: Simplify right side
    707,702.30x = 411,412,946,159.51
  5. Step 5: Solve for x
    x = 411,412,946,159.51/707,702.30
  6. Step 6: Final answer
    x = 581,336.17

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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.