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Finding the Fourth Proportional to 385,444.72, 578,413.86 and 208,075.24

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Solution

The fourth proportional to 385,444.72, 578,413.86 and 208,075.24 is: 312,246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,444.72 : 578,413.86 = 208,075.24 : x
  2. Step 2: Convert to fraction form
    385,444.72/578,413.86 = 208,075.24/x
  3. Step 3: Cross multiply
    385,444.72x = 578,413.86 × 208,075.24
  4. Step 4: Simplify right side
    385,444.72x = 120,353,602,738.83
  5. Step 5: Solve for x
    x = 120,353,602,738.83/385,444.72
  6. Step 6: Final answer
    x = 312,246.08

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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.