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Finding the Fourth Proportional to 602,420.48, 903,077.76 and 208,160

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Solution

The fourth proportional to 602,420.48, 903,077.76 and 208,160 is: 312,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,420.48 : 903,077.76 = 208,160 : x
  2. Step 2: Convert to fraction form
    602,420.48/903,077.76 = 208,160/x
  3. Step 3: Cross multiply
    602,420.48x = 903,077.76 × 208,160
  4. Step 4: Simplify right side
    602,420.48x = 187,984,666,521.60
  5. Step 5: Solve for x
    x = 187,984,666,521.60/602,420.48
  6. Step 6: Final answer
    x = 312,048.93

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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.