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Finding the Fourth Proportional to 260,316.64, 390,133.68 and 148,048.48

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Solution

The fourth proportional to 260,316.64, 390,133.68 and 148,048.48 is: 221,878.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,316.64 : 390,133.68 = 148,048.48 : x
  2. Step 2: Convert to fraction form
    260,316.64/390,133.68 = 148,048.48/x
  3. Step 3: Cross multiply
    260,316.64x = 390,133.68 × 148,048.48
  4. Step 4: Simplify right side
    260,316.64x = 57,758,698,320.81
  5. Step 5: Solve for x
    x = 57,758,698,320.81/260,316.64
  6. Step 6: Final answer
    x = 221,878.63

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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.