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Finding the Fourth Proportional to 260,075.30, 390,210.15 and 102,413.66

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Solution

The fourth proportional to 260,075.30, 390,210.15 and 102,413.66 is: 153,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,075.30 : 390,210.15 = 102,413.66 : x
  2. Step 2: Convert to fraction form
    260,075.30/390,210.15 = 102,413.66/x
  3. Step 3: Cross multiply
    260,075.30x = 390,210.15 × 102,413.66
  4. Step 4: Simplify right side
    260,075.30x = 39,962,849,630.65
  5. Step 5: Solve for x
    x = 39,962,849,630.65/260,075.30
  6. Step 6: Final answer
    x = 153,658.77

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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.