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Finding the Fourth Proportional to 897,547, 1,238,613.23 and 489,648.86

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Solution

The fourth proportional to 897,547, 1,238,613.23 and 489,648.86 is: 675,714.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,547 : 1,238,613.23 = 489,648.86 : x
  2. Step 2: Convert to fraction form
    897,547/1,238,613.23 = 489,648.86/x
  3. Step 3: Cross multiply
    897,547x = 1,238,613.23 × 489,648.86
  4. Step 4: Simplify right side
    897,547x = 606,485,556,050.42
  5. Step 5: Solve for x
    x = 606,485,556,050.42/897,547
  6. Step 6: Final answer
    x = 675,714.54

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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.