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Finding the Fourth Proportional to 326,075.10, 489,112.65 and 148,928.10

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Solution

The fourth proportional to 326,075.10, 489,112.65 and 148,928.10 is: 223,392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,075.10 : 489,112.65 = 148,928.10 : x
  2. Step 2: Convert to fraction form
    326,075.10/489,112.65 = 148,928.10/x
  3. Step 3: Cross multiply
    326,075.10x = 489,112.65 × 148,928.10
  4. Step 4: Simplify right side
    326,075.10x = 72,842,617,650.47
  5. Step 5: Solve for x
    x = 72,842,617,650.47/326,075.10
  6. Step 6: Final answer
    x = 223,392.15

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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.