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Finding the Fourth Proportional to 278,547, 384,711.36 and 187,746.48

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Solution

The fourth proportional to 278,547, 384,711.36 and 187,746.48 is: 259,303.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,547 : 384,711.36 = 187,746.48 : x
  2. Step 2: Convert to fraction form
    278,547/384,711.36 = 187,746.48/x
  3. Step 3: Cross multiply
    278,547x = 384,711.36 × 187,746.48
  4. Step 4: Simplify right side
    278,547x = 72,228,203,656.01
  5. Step 5: Solve for x
    x = 72,228,203,656.01/278,547
  6. Step 6: Final answer
    x = 259,303.47

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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.