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Finding the Fourth Proportional to 572,148, 858,014.64 and 256,442.40

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Solution

The fourth proportional to 572,148, 858,014.64 and 256,442.40 is: 384,570.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,148 : 858,014.64 = 256,442.40 : x
  2. Step 2: Convert to fraction form
    572,148/858,014.64 = 256,442.40/x
  3. Step 3: Cross multiply
    572,148x = 858,014.64 × 256,442.40
  4. Step 4: Simplify right side
    572,148x = 220,031,333,516.74
  5. Step 5: Solve for x
    x = 220,031,333,516.74/572,148
  6. Step 6: Final answer
    x = 384,570.66

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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.