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Finding the Fourth Proportional to 357,543.79, 493,006.09 and 228,312.34

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Solution

The fourth proportional to 357,543.79, 493,006.09 and 228,312.34 is: 314,812.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,543.79 : 493,006.09 = 228,312.34 : x
  2. Step 2: Convert to fraction form
    357,543.79/493,006.09 = 228,312.34/x
  3. Step 3: Cross multiply
    357,543.79x = 493,006.09 × 228,312.34
  4. Step 4: Simplify right side
    357,543.79x = 112,559,374,042.15
  5. Step 5: Solve for x
    x = 112,559,374,042.15/357,543.79
  6. Step 6: Final answer
    x = 314,812.83

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1.5x scale

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.