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Finding the Fourth Proportional to 528,052.60, 728,239.98 and 414,678.52

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Solution

The fourth proportional to 528,052.60, 728,239.98 and 414,678.52 is: 571,885.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,052.60 : 728,239.98 = 414,678.52 : x
  2. Step 2: Convert to fraction form
    528,052.60/728,239.98 = 414,678.52/x
  3. Step 3: Cross multiply
    528,052.60x = 728,239.98 × 414,678.52
  4. Step 4: Simplify right side
    528,052.60x = 301,985,477,111.23
  5. Step 5: Solve for x
    x = 301,985,477,111.23/528,052.60
  6. Step 6: Final answer
    x = 571,885.22

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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.