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Finding the Fourth Proportional to 214,802.40, 321,886.80 and 155,762.40

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Solution

The fourth proportional to 214,802.40, 321,886.80 and 155,762.40 is: 233,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,802.40 : 321,886.80 = 155,762.40 : x
  2. Step 2: Convert to fraction form
    214,802.40/321,886.80 = 155,762.40/x
  3. Step 3: Cross multiply
    214,802.40x = 321,886.80 × 155,762.40
  4. Step 4: Simplify right side
    214,802.40x = 50,137,860,496.32
  5. Step 5: Solve for x
    x = 50,137,860,496.32/214,802.40
  6. Step 6: Final answer
    x = 233,413.87

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1.5x scale

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.