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Finding the Fourth Proportional to 564,328.63, 778,783.04 and 309,703.51

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Solution

The fourth proportional to 564,328.63, 778,783.04 and 309,703.51 is: 427,396.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,328.63 : 778,783.04 = 309,703.51 : x
  2. Step 2: Convert to fraction form
    564,328.63/778,783.04 = 309,703.51/x
  3. Step 3: Cross multiply
    564,328.63x = 778,783.04 × 309,703.51
  4. Step 4: Simplify right side
    564,328.63x = 241,191,841,016.47
  5. Step 5: Solve for x
    x = 241,191,841,016.47/564,328.63
  6. Step 6: Final answer
    x = 427,396.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.