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Finding the Fourth Proportional to 280,055.76, 386,486.28 and 152,738.52

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Solution

The fourth proportional to 280,055.76, 386,486.28 and 152,738.52 is: 210,784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,055.76 : 386,486.28 = 152,738.52 : x
  2. Step 2: Convert to fraction form
    280,055.76/386,486.28 = 152,738.52/x
  3. Step 3: Cross multiply
    280,055.76x = 386,486.28 × 152,738.52
  4. Step 4: Simplify right side
    280,055.76x = 59,031,342,407.51
  5. Step 5: Solve for x
    x = 59,031,342,407.51/280,055.76
  6. Step 6: Final answer
    x = 210,784.25

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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.